Only strategy is to play as many cards as possible without missing a beat since most places have reduced prices if you take many cards (1$ for 3 cards, 2$ for 9 for example). This means that for a smaller investment, you get more chances of winning. But since this means that there is ery, ery, ery little skill involved (making BINGO mistakes is rare unless you play 75 cards), you'd need to play a lot for you to overcome the huge BINGO swings
So yes, if everyone only has one card and pays 1$ for it, it's just luck. If you have the option of playing as many cards as possible for a reduced investment, your chances of winning increase by a small margin and it becomes almost all luck but some skills.
PS: If there is a cap on the number of cards that can be bought, or no rebate for additionnal card, or everyone plays (flawlessly) the card cap, it becomes all luck again.
PPS: I doubt someone would, in his life, unless he played an insane amount of BINGO, a isible effect to playing more cards.
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